Uniform probability law on the unit square

Can you describe the regions in the square for each part? What you need to do is shade the area in the square that is being described. Then calculate its area. For example, B. What would the shaded area look like?
 
This is a very strange set of probability questions. #'s 4 & 5 are trivial compared to the others.
You are correct about #4.
Here is a graph that answers #1.
 
My first reaction is that you should leave the probabilities as fractions. For A and B, your answers in post #6 are both close so you likely worked them correctly, but the exact answers are [MATH]P(A)=\frac 4 9[/MATH] and [MATH]P(B) = \frac{15}{16}[/MATH]. Your answers are decimal approximations and there is no need for that. Post #9 is correct if you use the fractional value.
To do [MATH]P(A \cap D)[/MATH] you need to respond to my post #3 for that region.
 
Last edited:
Top